What is the difference between a complex scalar field and two real ...
A complex scalar field represents a single charged particle whereas two real scalar fields may represent two independent neutral particles. The difference is easy to note while imposing …
How can a scalar field have components and how do I interpret …
2024年4月8日 · If the scalar field components are real, the symmetry group of the Lagrangian $$\mathcal{L}={\partial_\mu}\phi^T\partial^\mu\phi-V\left(\phi^T\phi\right)\tag{5}$$ is …
What's the meaning of canonical and phantom scalar field?
2018年3月30日 · Phantom scalar fields are spooky scalar fields with a negative kinetic term. In other words, the $\epsilon$ constant corresponds to the Lagrangian $$\mathcal L = \epsilon …
Gradient of scalar field - Physics Stack Exchange
2022年10月1日 · $\begingroup$ By definition, the gradient of a scalar field is a vector field that gives you the direction of the maximum growth of the function and it's related to the directional …
Variation of a scalar field - Physics Stack Exchange
2021年3月5日 · The action of the referenced paper also contains a potential for the scalar field coupled to the Gauss-Bonnet invariant. For that term you have to use the chain rule on …
Global phase symmetry for complex scalar field theory
Because $\phi$ is a complex field, it has two. The way how you sum over them is sometimes a matter of taste, for example you could as well have written $\phi=\phi_1+i\phi_2$ and sum …
The Lagrangian in Scalar Field Theory - Physics Stack Exchange
In Leonard Susskind's Special Relativity and Classical Field Theory, he provides a much more intuitive, but informal, way. Imagine that we take a scaler field, which is time dependent. Let …
Calculating the Hamiltonian of complex scalar field
2019年12月20日 · Explanation for vanishing term in mode expansion of complex scalar field Hot Network Questions Do longer papers (all other things being equal!) have lower chances of …
What is the exact meaning of Lorentz invariance for a quantum …
2020年7月20日 · In Lagrangian QFT, it is required that a scalar field must have a scalar Lagrangian, which in turn implies that "If $\phi(x)$ solves the equations of motion then so does …
Scalar fields and general coordinate transformations
In classical mechanics, a scalar field is characterised by the fact that its value at a particular point must be invariant under rotations and reflections of coordinates. That is, one requires that...